σ-β-open sets on σ-structures

초록

The purpose of this paper is to study σ-β-open sets. Firstly, we define the σ-β-open sets and some basic properties of them. Secondly, we introduce the notions of σ-β-continuous functions and σ-β-open(σ-β-closed) functions, and investigate characterizations for such functions by using the σ-interior, σ-closure, σ-β-interior and σ-β-closure operators. Finally, we investigate the relationships among σ-continuity and σ-semicontinuity, σ-precontinuity and σ-β-continuity. © 2015 Academic Publications, Ltd.

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